Can you help me with the code for how to do this in R please?   1. The study "Digital Footprints" ([Pew Internet and American Life Project]("Digital Footprints" (Pew Internet and American Life Project)) reported that 47\% of Internet users have searched for information about themselves online. The 47\% figure was based on a random sample of Internet users. Suppose that the sample size was `n = 400`.     i) Use this information to estimate the true proportion of Internet users who searched information about themselves using a default 95\% confidence interval.          ii) Repeat (i) but instead use a 98\% Confidence Level. Use function `prop.test()`.        iii) What is the main difference between the intervals computed in (i) and (ii)? What do you think is the role of the confidence level in determining the precision of the confidence interval estimate?

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Can you help me with the code for how to do this in R please?

 

1. The study "Digital Footprints" ([Pew Internet and American Life Project]("Digital Footprints" (Pew Internet and American Life Project)) reported that 47\% of Internet users have searched for information about themselves online. The 47\% figure was based on a random sample of Internet users. Suppose that the sample size was `n = 400`.  

  i) Use this information to estimate the true proportion of Internet users who searched information about themselves using a default 95\% confidence interval.    
  
  ii) Repeat (i) but instead use a 98\% Confidence Level. Use function `prop.test()`.  
  
  iii) What is the main difference between the intervals computed in (i) and (ii)? What do you think is the role of the confidence level in determining the precision of the confidence interval estimate?  

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